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Reseach Article

Inversion Formula for Generalized Two-Dimensional Offset Fractional Fourier Transform

Published on February 2013 by V. D. Sharma, Pallavi S. Thakare
International Conference on Recent Trends in Information Technology and Computer Science 2012
Foundation of Computer Science USA
ICRTITCS2012 - Number 5
February 2013
Authors: V. D. Sharma, Pallavi S. Thakare
fb7c9e77-28be-4323-a6f0-72cbe91649b3

V. D. Sharma, Pallavi S. Thakare . Inversion Formula for Generalized Two-Dimensional Offset Fractional Fourier Transform. International Conference on Recent Trends in Information Technology and Computer Science 2012. ICRTITCS2012, 5 (February 2013), 23-25.

@article{
author = { V. D. Sharma, Pallavi S. Thakare },
title = { Inversion Formula for Generalized Two-Dimensional Offset Fractional Fourier Transform },
journal = { International Conference on Recent Trends in Information Technology and Computer Science 2012 },
issue_date = { February 2013 },
volume = { ICRTITCS2012 },
number = { 5 },
month = { February },
year = { 2013 },
issn = 0975-8887,
pages = { 23-25 },
numpages = 3,
url = { /proceedings/icrtitcs2012/number5/10280-1380/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Recent Trends in Information Technology and Computer Science 2012
%A V. D. Sharma
%A Pallavi S. Thakare
%T Inversion Formula for Generalized Two-Dimensional Offset Fractional Fourier Transform
%J International Conference on Recent Trends in Information Technology and Computer Science 2012
%@ 0975-8887
%V ICRTITCS2012
%N 5
%P 23-25
%D 2013
%I International Journal of Computer Applications
Abstract

The Fractional Fourier Transform is very useful tool in digital signal processing. The Offset Fractional Fourier transform, however, is generalization of the Fractional Fourier transform. The Offset Fractional Fourier Transform is more flexible than the original Fractional Fourier Transform and can solve some problem that cannot be solved well by the original fractional Fourier transform. In this paper, we present generalization of Two Dimensional offset fractional Fourier transform (2D offset FRFT) in distributional sense. Inversion formula for 2D offset FRFT is also proved.

References
  1. Joint time-frequency Offset detection using the Fractional Fourier transform, signal processing 88 (2008) 2936-2942.
  2. V. Namias, the Fractional Order Fourier transform & its application to quantum mechanics, J. Inst. Maths. Appl. 25.
  3. Zhang Feng. , Tao Reaetal, Oversampling analysis in Fractional Fourier domain, Scima in china series (2009) 1446-1455.
  4. Pei S. C. ,Ding J. J, Relation between fractional operation and time frequency distribution and their application, IEEE trans signal process,2001,49(8),1638-1655.
  5. K. H. Miah, R. H. Herrera, M. vander Bann, M. D. sacchi; Application of FFT in cepstrum analysis(2012).
  6. Shen chiu Radar system section R&D Canada (DRDC),3701 carling avenue, Ottawa on, Canada KIA OZ4(2005).
  7. Pei S. C. Ding J. J. , Generalized Eigen vector and fractionalization of offset DFTS and DCTS, IEEE, Trans signal process. vol 52, no. 1(2004) 2032-2046.
  8. Haldum M . Ozaktas, M. A. Kutay and Z. Zaleveskey, The Fractional Fourier Transform with application in optics & signal processing.
  9. Zemanian, A. H. Generalized integral transform, Inter science publication, New York (1968).
Index Terms

Computer Science
Information Sciences

Keywords

Fractional Fourier Transform Two Dimensional Offset Fractional Fourier Transform Digital Signal Processing Image Processing Speech Recognition